On the vibrational analysis for the motion of a rotating cylinder
type: Item
instance of: scholarly article
title: On the vibrational analysis for the motion of a rotating cylinder
zbMATH Open document ID: 1490.70049
DOI: 10.1007/978-3-030-77306-9_1
author: M. A. Bek
author: T. S. Amer
author: Mohamed Abohamer
publication date: 2022-02-08T00:00:00Z
review text: The main purpose of this work is to study the motion of an auto-parametric dynamical system attached with a damped system. The governing equations of motion are gained utilizing Lagrange's equations in terms of the generalized coordinates. The method of multiple scales (MS) is used to obtain the solutions of the governing equations up to the third order of approximation. The primary external resonance simultaneously with the internal one are investigated to establish the solvability conditions and the modulation equations. The graphical representations of the time histories together with the amplitude and phases of the dynamical system are represented in some plots to describe the motion of the system at any instance. For the entire collection see [Zbl 1477.93109].
reviewed by: Martin Gugat
Mathematics Subject Classification ID: 70J10
Mathematics Subject Classification ID: 70H03
zbMATH DE Number: 7471029
zbMATH Keywords: vibration
zbMATH Keywords: nonlinear dynamics
zbMATH Keywords: stability
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: 978-3-030-77306-9 1
OpenAlex ID: W4205194507
cites work: Dynamics of vibration isolation system with a quasi-isochronous roller shock absorber
cites work: Q3895818
cites work: Q4244407
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description: scientific article; zbMATH DE number 7471029